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Optimal Designs for Carry Over Effects the Case of Two Treatment and Four Periods

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  • Miltiadis S. Chalikias

    (Department of Accounting and Finance, School of Business, Economics and Social Sciences, University of West Attica, 12244 Egaleo, Greece)

Abstract

The optimal cross-over experimental designs are derived in experiments with two treatments, four periods, and an experimental unit. The results are given for the values n = 0mod4, 1mod4, 2mod4 and 3mod4. The criterion being the minimization of the variance of the estimated carry over effect.

Suggested Citation

  • Miltiadis S. Chalikias, 2019. "Optimal Designs for Carry Over Effects the Case of Two Treatment and Four Periods," Mathematics, MDPI, vol. 7(12), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1179-:d:293664
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    References listed on IDEAS

    as
    1. Miltiadis Chalikias & Stratis Kounias, 2017. "Optimal two treatment repeated measurement designs for three periods," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 200-209, January.
    2. Hedayat A.S. & Yang M., 2004. "Universal Optimality for Selected Crossover Designs," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 461-466, January.
    3. Miltiadis S. Chalikias, 2019. "Optimal Repeated Measurements for Two Treatment Designs with Dependent Observations: The Case of Compound Symmetry," Mathematics, MDPI, vol. 7(4), pages 1-6, April.
    4. Hedayat, A. S. & Zheng, Wei, 2010. "Optimal and Efficient Crossover Designs for Test-Control Study When Subject Effects Are Random," Journal of the American Statistical Association, American Statistical Association, vol. 105(492), pages 1581-1592.
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